For the equation
a) Rearrange the equation into the form

To get the equation into the slope-intercept form , we need to isolate . First, subtract from both sides:

Next, divide everything by 4:

Now we have the equation in the desired form, where and .

To give you a little extra fun knowledge: this form is super useful for graphing! The slope (m) tells you how steep the line is—here, for every 1 unit you move to the right on the x-axis, you drop 3 units on the y-axis. The intercept © gives you the starting point of the line on the y-axis, which is at -6. Perfect for plotting!

Additionally, knowing how to rearrange equations like this can help in real-world scenarios too! For instance, if you were analyzing a budget where represents hours worked and represents the amount of money saved, transforming your equations can show you how your savings change with different hours worked. It’s like unlocking financial insights with math—how cool is that?